SANDY GRABINER, Finitely Generated, Noetherian, and Artinian Banach Modules, Indiana University Mathematics Journal, Vol. 26, No. 3 (May–June, 1977), pp. 413-425 ...

Bass characterized the rings R with the property that every left R-module has a projective cover. These are the left perfect rings. A ring is left perfect if and only if the class of projective ...